Question 1 (multiple choice worth 2 points)

(05.06)

a bicycle manufacturing company makes a particular type of bike. each child bike requires 4 hours to build and 4 hours to test. each adult bike requires 6 hours to build and 4 hours to test. with the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. if c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.

no, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
no, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

question 2 (multiple choice worth 2 points)

(05.06)

coordinate grid with plotted ordered pairs, point a at negative 5, 4 point b at 4, 7 point c at negative 2, 7 point d at negative 7, 1 point e at 4, negative 2 point f at 1, negative 6 point g at negative 3, negative 10 point h at negative 4, negative 4 point i at 9, 3 point j at 7, negative 4 and point k at 2, 3

the coordinate grid shows points a through k. which points are solutions to the system of inequalities listed below?

2x + y < 10
2x − 4y > 8

e, f, g, h, j
e, f, g
a, c, d, k
a, e, f

question 3 (multiple choice worth 2 points)

(05.06)

the graph below represents which system of inequalities?

graph of two infinite lines that intersect at a point. one line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. the other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line.

y ≤ −2x + 3
y ≤ x + 3
y ≥ −2x + 3
y ≥ x + 3
y ≤ −3x + 2
y ≤ −x + 2
y > −2x + 3
y > x + 3

question 4 (multiple choice worth 1 points)

(05.06)

choose the graph below that represents the following system of inequalities:

y ≥ −3x + 1

y ≤ 1 over 2x + 3

graph of two lines that intersect at one point. both lines are solid. one line passes through points negative 2, 2 and 0, 3 and is shaded above the line. the other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
graph of two lines that intersect at one point. both lines are solid. one line passes through points negative 2, 2 and 0, 3 and is shaded below the line. the other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
graph of two lines that intersect at one point. both lines are solid. one line passes through points negative 2, 2 and 0, 3 and is shaded below the line. the other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.
graph of two lines that intersect at one point. both lines are solid. one line passes through points negative 2, 2 and 0, 3 and is shaded above the line. the other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.

question 5 (multiple choice worth 1 points)

(05.06)

which of the following points lie in the solution set to the following system of inequalities?

y < −3x + 3
y < x + 2

(1, −5)
(1, 5)
(5, 1)
(−1, 5)

question 6 (multiple choice worth 2 points)

(05.06)

the graph below represents which system of inequalities?

graph of two intersecting lines. one line is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. the other line is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.

y > 2x − 3
y > −x − 3
y < 2x − 2
y < −x + 3
y ≤ 2x − 2
y > −x + 3
none of the above